Problem

A pendulum of length L = 65 cm has a stiff frame and negligible mass, and it supports a ma...

A pendulum of length L = 65 cm has a stiff frame and negligible mass, and it supports a mass of 3.4 kg on a small platform as shown in Figure P11.68, step 1. When the pendulum is raised and released (Fig. P11.68, step 2), the mass will slide off the platform and come into contact with a spring of constant k = 820 N/m at the bottom of the swing (Fig. P11.68, step 3). Next, the spring compresses and then sends the mass back onto the pendulum (Fig. P11.68, step 4), where, assuming negligible friction, the process repeats indefinitely, (a) What is the period for this repeating process? (b) If the mass on the pendulum is raised to a height of 20 cm, what is the maximum compression of the spring? (c) Graph the potential energy as a function of time for the first 2.0 s of operation, (d) What larger replacement mass would make the rime spent on the spring equal to the time spent on the pendulum? (e) What is the maximum spring compression for this mass?

Figure P11.68

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